Towards a mathematical definition of Coulomb branches of 3-dimensional N=4 gauge theories, II
Towards a mathematical definition of Coulomb branches of 3-dimensional N=4 gauge theories, II
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DOI：
10.4310/atmp.2018.v22.n5.a1
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发表时间：
2018-01-01
影响因子：
1.5
通讯作者：
Nakajima, Hiraku
中科院分区：
文献类型：
--
作者：
Braverman, Alexander;Finkelberg, Michael;Nakajima, Hiraku
考虑与紧李群G（c）及其四元数表示M相联系的三维N= 4超对称规范理论。物理学家研究它的库仑分支，它是一个具有SU（2）作用的非紧超卡勒流形，可能具有奇点。作为[Nak 16]建议的第二步，我们给出了当M为N圆加N* 时，库仑分支为具有C-x作用的仿射代数簇的数学定义.
Consider the 3-dimensional N= 4 supersymmetric gauge theory associated with a compact Lie group G(c) and its quaternionic representation M. Physicists study its Coulomb branch, which is a noncompact hyper-Kahler manifold with an SU(2)-action, possibly with singularities. We give a mathematical definition of the Coulomb branch as an affine algebraic variety with C-x-action when M is of a form N circle plus N*, as the second step of the proposal given in [Nak16].